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Finding the Fourth Proportional to 530.75, 732.07 and 364.67

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Solution

The fourth proportional to 530.75, 732.07 and 364.67 is: 502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 732.07 = 364.67 : x
  2. Step 2: Convert to fraction form
    530.75/732.07 = 364.67/x
  3. Step 3: Cross multiply
    530.75x = 732.07 × 364.67
  4. Step 4: Simplify right side
    530.75x = 266,963.97
  5. Step 5: Solve for x
    x = 266,963.97/530.75
  6. Step 6: Final answer
    x = 502.99

Related Problems

Find fourth proportional to 265.38, 366.04 and 182.34
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.